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Washington, DC
See the link below from the U.S. Naval Observatory.
Original answer: I believe that the US Naval Observatory is the official time keeper of the United States.The rest of the story: The USNO is one half of the equation. The National Institute of Standards and Technology is the other half.
The US Naval Observatory's web site has a calculator that will allow you to see the phases of the Moon, or to calculate the times of sunrise and sunset. Check out the link below
About 14 hours of daylight. The US Naval Observatory's web site has a tool that will allow you to calculate the time of sunrise and sunset every day for a year, at the link below.
Washington, DC
Old Naval Observatory was created in 1843.
One Observatory Circle
A house is provided on the grounds of the US Naval Observatory in Washington, DC. The house is located at the southeast corner of 34th Street and Massachusetts Avenue. The address given at whitehouse.gov is Number One Observatory Circle, Washington, DC. This house, originally for the Naval Observatory's superintendent, became the VP's house in 1974. Prior to that, each VP was responsible for finding his own accommodations.
The Vice President's Residence was built as the home of the Superintendent of the Naval Observatory in 1893. The house became the home of the chief of naval operations in 1923. Congress turned the home into the Vice President's Residence in 1974. a white, brick-walled, Victorian-style home with 9,150 square feet of floor space, is located on the corner of 34th Street and Massachusetts Avenue in Washington, D.C. It's on the grounds of the United States Naval Observatory and was originally built for the superintendent of the observatory in 1839. The house became the official residence of the Chief of the Naval Observatory in 1928 (for this reason, it's still referred to as the "Admiral's House"). In 1974, Congress designated the house the official temporary residence for vice presidents. Before the decree, the vice president lived in temporary houses and hotels.
United States Naval Observatory Flagstaff Station was created in 1955.
Go to the US Naval Observatory site
According to the US Naval Observatory sunset will be at 8:05pm.
The U.S. Naval Astronomical Observatory in Wahington D.C.
Joe Biden and his wife Jill will live at the Vice President's mansion at the US Naval Observatory in DC.
Dennis D. McCarthy has written: 'The determination of universal time at the U.S. Naval Observatory' -- subject(s): Systems and standards, Time, United States Naval Observatory
I've attached two links, one that lets you calculate a custom calendar showing sunrise and sunset for an entire month, and one from the US Naval Observatory that allows you to get detailed data for one day. St. Martinville isn't in the Naval Observatory's database, but you seem to be near Lafayette, and Lafayette is. According to the Naval Observatory, on October 24th sunrise is at 7:17 AM Central time and sunset is at 6:27 PM.